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확률적 혼합 정수 계획법×확률적 동적 계획법×
분야시뮬레이션시뮬레이션
계열Process / pipelineProcess / pipeline
기원 연도1990s–2000s1957
창시자Birge, J. R.; Louveaux, F.; Sen, S.Bellman, R.; formalized for stochastic settings by Puterman, M. L.
유형Stochastic optimization modelSequential optimization under uncertainty
원전Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093
별칭SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILPSDP, Markov Decision Process, MDP, Stochastic DP
관련56
요약Stochastic Mixed-Integer Programming (SMIP) is an optimization framework that finds the best mix of binary, integer, and continuous decisions when key parameters — costs, demands, capacities — are uncertain and modeled as probability distributions over a set of scenarios. It extends classical MIP by embedding scenario trees or expected-value objectives that hedge against uncertainty while respecting combinatorial constraints.Stochastic Dynamic Programming (SDP) is a mathematical optimization framework for sequential decision problems where outcomes are partly random. It extends Bellman's principle of optimality to stochastic environments, representing problems as Markov Decision Processes (MDPs) and computing optimal policies by solving recursive value equations over states and time periods.
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